Some Transmuted Software Reliability Models
The Hausdorff approximation of the shifted Heaviside function $h_{t_0}(t)$ by general transmuted family of cumulative distribution functions is studied and a value for the error of the best approximation is derived in this paper. The outcomes of numerical examples confirm theoretical conclusions an...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Mahmut Akyigit
2019-04-01
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| Series: | Journal of Mathematical Sciences and Modelling |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/699495 |
| _version_ | 1827377836653019136 |
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| author | Asen Rahnev Nikolay Pavlov Anton Iliev Nikolay Kyurkchiev |
| author_facet | Asen Rahnev Nikolay Pavlov Anton Iliev Nikolay Kyurkchiev |
| author_sort | Asen Rahnev |
| collection | DOAJ |
| description | The Hausdorff approximation of the shifted Heaviside function $h_{t_0}(t)$ by general transmuted family of cumulative distribution functions is studied and a value for the error of the best approximation is derived in this paper. The outcomes of numerical examples confirm theoretical conclusions and they are derived by the help of CAS Mathematica. Real data set which is proposed by Musa in [4] using general transmuted exponential software reliability model is examined. |
| first_indexed | 2024-03-08T12:46:03Z |
| format | Article |
| id | doaj.art-26439d0dfb3e46bdb005c3e9dfe3b5c5 |
| institution | Directory Open Access Journal |
| issn | 2636-8692 |
| language | English |
| last_indexed | 2024-03-08T12:46:03Z |
| publishDate | 2019-04-01 |
| publisher | Mahmut Akyigit |
| record_format | Article |
| series | Journal of Mathematical Sciences and Modelling |
| spelling | doaj.art-26439d0dfb3e46bdb005c3e9dfe3b5c52024-01-21T07:02:13ZengMahmut AkyigitJournal of Mathematical Sciences and Modelling2636-86922019-04-0121647010.33187/jmsm.4342771408Some Transmuted Software Reliability ModelsAsen Rahnev0Nikolay Pavlov1Anton Iliev2Nikolay Kyurkchiev3University of Plovdiv Paisii HilendarskiUniversity of Plovdiv Paisii HilendarskiUniversity of Plovdiv Paisii HilendarskiUniversity of Plovdiv Paisii HilendarskiThe Hausdorff approximation of the shifted Heaviside function $h_{t_0}(t)$ by general transmuted family of cumulative distribution functions is studied and a value for the error of the best approximation is derived in this paper. The outcomes of numerical examples confirm theoretical conclusions and they are derived by the help of CAS Mathematica. Real data set which is proposed by Musa in [4] using general transmuted exponential software reliability model is examined.https://dergipark.org.tr/tr/download/article-file/699495hausdorff approximationgeneral transmuted familylower and upper boundsshifted heaviside function $h_{t_0}(t)$ |
| spellingShingle | Asen Rahnev Nikolay Pavlov Anton Iliev Nikolay Kyurkchiev Some Transmuted Software Reliability Models Journal of Mathematical Sciences and Modelling hausdorff approximation general transmuted family lower and upper bounds shifted heaviside function $h_{t_0}(t)$ |
| title | Some Transmuted Software Reliability Models |
| title_full | Some Transmuted Software Reliability Models |
| title_fullStr | Some Transmuted Software Reliability Models |
| title_full_unstemmed | Some Transmuted Software Reliability Models |
| title_short | Some Transmuted Software Reliability Models |
| title_sort | some transmuted software reliability models |
| topic | hausdorff approximation general transmuted family lower and upper bounds shifted heaviside function $h_{t_0}(t)$ |
| url | https://dergipark.org.tr/tr/download/article-file/699495 |
| work_keys_str_mv | AT asenrahnev sometransmutedsoftwarereliabilitymodels AT nikolaypavlov sometransmutedsoftwarereliabilitymodels AT antoniliev sometransmutedsoftwarereliabilitymodels AT nikolaykyurkchiev sometransmutedsoftwarereliabilitymodels |